We've been seeing quite a few geodesic dome and tensegrity-related projects and articles lately, and we decided to highlight a few here. To begin with, what is a geodesic dome? Here is a quick description.
Perhaps you'd like some help building your own. Wooden Homes has a number of articles on building geodesic domes, including this overview of the process. Life from the Loam has a short how-to video, DIY Geodome details the process of building a dome, Desert Domes has a very useful geodesic calculator for calculating strut lengths. And don't forget to check out the dome section of our FAQ.
On the other hand, if you don't want to deal with actually making your own dome, here are a few beautiful dome homes, which you can visit or stay in!